List of mathematical identities
# List of mathematical identities

This article lists mathematical identities, that is, identically true relations holding in mathematics.

* Bézout's identity (despite its usual name, it is not, properly speaking, an identity)
* Binomial inverse theorem
* Binomial identity
* Brahmagupta–Fibonacci two-square identity
* Candido's identity
* Cassini and Catalan identities
* Degen's eight-square identity
* Difference of two squares
* Euler's four-square identity
* Euler's identity
* Fibonacci's identity see Brahmagupta–Fibonacci identity or Cassini and Catalan identities
* Heine's identity
* Hermite's identity
* Lagrange's identity
* Lagrange's trigonometric identities
* MacWilliams identity
* Matrix determinant lemma
* Newton's identity
* Parseval's identity
* Pfister's sixteen-square identity
* Sherman–Morrison formula
* Sophie Germain identity
* Sun's curious identity
* Sylvester's determinant identity
* Vandermonde's identity
* Woodbury matrix identity

## Identities for classes of functions

* Exterior calculus identities
* Fibonacci identities: Combinatorial Fibonacci identities and Other Fibonacci identities
* Hypergeometric function identities
* List of integrals of logarithmic functions
* List of topics related to π
* List of trigonometric identities
   * Inverse trigonometric functions
* Logarithmic identities
* Summation identities
* Vector calculus identities
